GCD of 55, 90, 78 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 55, 90, 78 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 90, 78 is 1
GCD(55, 90, 78) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 90, 78 is 1
GCD(55, 90, 78) = 1
GCDof 55,90,78 is 1
Given Input numbers are 55, 90, 78
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Greatest Common Divisior
We found the divisors of 55, 90, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 90, 78 is 1.
Therefore, GCD of numbers 55, 90, 78 is 1
Given Input Data is 55, 90, 78
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 78 is 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 55, 90, 78 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(55, 90) = 990
GCD(55, 90) = ( 55 x 90 ) / 990
GCD(55, 90) = 4950 / 990
GCD(55, 90) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 78) = 390
GCD(5, 78) = ( 5 x 78 ) / 390
GCD(5, 78) = 390 / 390
GCD(5, 78) = 1
GCD of 55, 90, 78 is 1
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FAQs on GCD of numbers 55, 90, 78
1. What is the GCD of 55, 90, 78?
GCD of 55, 90, 78 is 1
2. Where do I get the detailed procedure to find GCD of 55, 90, 78?
You can find a detailed procedure to find GCD of 55, 90, 78 on our page.
3. How to find GCD of 55, 90, 78 on a calculator?
You can find the GCD of 55, 90, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.